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Finding the Fourth Proportional to 1,024.75, 1,536.95 and 366.48

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Solution

The fourth proportional to 1,024.75, 1,536.95 and 366.48 is: 549.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.75 : 1,536.95 = 366.48 : x
  2. Step 2: Convert to fraction form
    1,024.75/1,536.95 = 366.48/x
  3. Step 3: Cross multiply
    1,024.75x = 1,536.95 × 366.48
  4. Step 4: Simplify right side
    1,024.75x = 563,265.64
  5. Step 5: Solve for x
    x = 563,265.64/1,024.75
  6. Step 6: Final answer
    x = 549.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.